In a class of 25 students, 24 of them took an exam in class and 1 student took a make-up exam the following day. The professor graded the first batch of 24 exams and found an average score of 74 points with a standard deviation of 8.9 points. The student who took the make-up the following day scored 64 points on the exam. what is the new average

The  value is  

Step-by-step explanation:

From the question we are told that

   The total number of students is  

    The  number of student that took exam in class is  n  = 24

    The number that took make up exam is  k  =  1

     The  average score of the first 24 students is  

       The  standard deviation is

      The  average score of the student who took make up test is

Generally the new average is mathematically represented as

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.